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Finding the Fourth Proportional to 71,804.62, 107,722.47 and 21,883.40

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Solution

The fourth proportional to 71,804.62, 107,722.47 and 21,883.40 is: 32,829.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,804.62 : 107,722.47 = 21,883.40 : x
  2. Step 2: Convert to fraction form
    71,804.62/107,722.47 = 21,883.40/x
  3. Step 3: Cross multiply
    71,804.62x = 107,722.47 × 21,883.40
  4. Step 4: Simplify right side
    71,804.62x = 2,357,333,251.97
  5. Step 5: Solve for x
    x = 2,357,333,251.97/71,804.62
  6. Step 6: Final answer
    x = 32,829.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.